(5+7y)(1-9y)=0

Solution for (5+7y)(1-9y)=0 equation:

Simplifying
(5 + 7y)(1 + -9y) = 0

Multiply (5 + 7y) * (1 + -9y)
(5(1 + -9y) + 7y * (1 + -9y)) = 0
((1 * 5 + -9y * 5) + 7y * (1 + -9y)) = 0
((5 + -45y) + 7y * (1 + -9y)) = 0
(5 + -45y + (1 * 7y + -9y * 7y)) = 0
(5 + -45y + (7y + -63y2)) = 0

Combine like terms: -45y + 7y = -38y
(5 + -38y + -63y2) = 0

Solving
5 + -38y + -63y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -9y)(5 + 7y) = 0

Subproblem 1
Set the factor '(1 + -9y)' equal to zero and attempt to solve:

Simplifying
1 + -9y = 0

Solving
1 + -9y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -9y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9y = 0 + -1
-9y = 0 + -1

Combine like terms: 0 + -1 = -1
-9y = -1

Divide each side by '-9'.
y = 0.1111111111

Simplifying
y = 0.1111111111
Subproblem 2
Set the factor '(5 + 7y)' equal to zero and attempt to solve:

Simplifying
5 + 7y = 0

Solving
5 + 7y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + 7y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 7y = 0 + -5
7y = 0 + -5

Combine like terms: 0 + -5 = -5
7y = -5

Divide each side by '7'.
y = -0.7142857143

Simplifying
y = -0.7142857143
Solution
y = {0.1111111111, -0.7142857143}